Titlebook: Advanced Techniques with Block Matrices of Operators; Mohammad Sal Moslehian,Hiroyuki Osaka Book 2024 The Editor(s) (if applicable) and Th

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https://doi.org/10.1007/978-3-031-64546-4Operator matrix; Block matrix; Operator inequality; Unitarily invariant norm; Dilation; Norm inequality; S

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978-3-031-64545-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Book 2024readers and provide suggestions for future research. This book is suitable for an advanced undergraduate or graduate course and can be used in the classroom. It also serves as a valuable resource for researchers and students in mathematics and physics who have a basic understanding of linear algebra, functional analysis, and operator theory..

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Book 2024C*-algebra. These techniques allow for the solution of problems that may be difficult to treat. Specifically, 2×2 operator matrices yield significant mathematical inequalities in various fields of operator theory and matrix analysis. The authors employ block matrices to simplify complicated problems

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Heinrich Holland,Kurt Scharnbacherl characterizations of the positivity of . operator matrices of the form .. We also investigate the properties of . matrices with entries in a .-algebra. Finally, we utilize the power of operator matrices to derive a variety of inequalities related to eigenvalues and norms of matrices.

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Block Matrices of Operators,l characterizations of the positivity of . operator matrices of the form .. We also investigate the properties of . matrices with entries in a .-algebra. Finally, we utilize the power of operator matrices to derive a variety of inequalities related to eigenvalues and norms of matrices.